- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 1
- Strongly $g^*$-closed sets and Strongly $T^*_{\frac{1}{2}}$ spaces in bitopological spaces
Strongly $g^*$-closed sets and Strongly $T^*_{\frac{1}{2}}$ spaces in bitopological spaces
Authors : H. S. Al-saadi
Pages : 37-45
View : 11 | Download : 5
Publication Date : 2018-02-01
Article Type : Research
Abstract :This paper introduces with a new class of sets called $ij$-strongly $g^*$-closed. We prove that this lies between the class of $\tau_j$-closed sets and the class of $ij$-$g^*$-closed sets. Also we find some basic properties and applications of $ij$-strongly $g^*$-closed sets. We also introduce and study a new class of spaces, namely $ij$-$ST^*_{\dfrac{1}{2}}$ spaces.Keywords : $ij$-$g^*$-closed sets, $ij$-strongly $g^*$-closed sets, $ij$-$T^*_{dfrac{1}{2}}$ spaces, $ij$-$ST^*_{dfrac{1}{2}}$ spaces